Quiz about Mixture Problems

Question 1

An owner of a gourmet food store has two varieties of herbal tea, one that costs $40 per kilogram and another that costs $50 per kilogram. How many kg of each type are needed to make 20 kg of a blend worth $46 per kg?

Accepted Answer

12 kg @ $50/kg + 8 kg @ $40/kg

Answer

14 kg @ $50/kg + 6 kg @ $40/kg

Question 2

A shop sells two kinds of nuts, one that costs $500 per kg and another that costs $540 per kg. How many kilograms of each type of nut should be mixed in order to have 40 kg of a mixture worth $525 per kilogram?

Accepted Answer

25 kg @ $540/kg + 15 kg @ $500/kg

Answer

10 kg @ $540/kg + 30 kg @ $500/kg

Question 3

Mr James has coffee worth $400/kg that he wishes to mix with 20kg of coffee worth $700/kg to get a mixture that can be sold for $500/kg. How many kg of the cheaper coffee beans should he use?

Accepted Answer

40kg

Answer

20kg

Answer

30kg

Answer

60kg

Question 4

A restaurant uses 1.2 kg of tuna at $125/kg and 2.4 kg of salmon at $200/kg to make combo sushi rolls. What should the price per kg be of the combo rolls?

Accepted Answer

$175/kg

Answer

$168/kg

Answer

$163/kg

Answer

$57/kg

Question 5

A market is selling 10kg of mixed fruit sets for $68.70/kg. The sets are made from two kinds of fruit: watermelon priced at $57/kg and guava at $87/kg. How many kg of each fruit are needed to make the sets?

Accepted Answer

3.9, 6.1

Answer

37, 13

Answer

14, 6

Answer

25,15

Question 6

Find the amounts of 20% salt solution and 8% salt solution that should be mixed together to make 500 ml of 15% salt solution.

Accepted Answer

291.67 ml of 20% salt solution,
208.33 ml of 8% salt solution

Answer

280 ml of 20% salt solution,
220 ml of 8% salt solution

Answer

208.33 ml of 20% salt solution,
291.67 ml of 8% salt solution

Answer

220 ml of 20% salt solution,
280 ml of 8% salt solution

Question 7

Question 7.

Accepted Answer

D

Answer

A

Answer

B

Answer

C

Question 8

Question 8.

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 9

3 gallons of a 20% sugar solution is mixed with 5 gallons of a 50% sugar solution. What is the concentration of the mixture?

Accepted Answer

38.75%

Answer

30%

Answer

40%

Answer

41.875%

Question 10

100 mL of a 12% saline solution is mixed with 250 mL of an 18% saline solution. What is the concentration of the resulting mixture?

Accepted Answer

16.3%

Answer

14.1%

Answer

22.5%

Answer

18%

Question 11

A 20 pound bag of calf starter mix (used to get baby calves to start eating food instead of milk) contains 50% corn. It is mixed with a 30 pound bag that contains 65% corn. What is the concentration of corn in the resulting mixture?

Accepted Answer

59%

Answer

55%

Answer

57%

Answer

61%

Question 12

Mrs. Dibble wants to create the perfect grass seed blend to use on her lawn this summer. She mixes a 5 pound bag that is 70% Kentucky Blue Grass with an 8 pound bag that is 50% Kentucky Blue Grass. What is the concentration of Kentucky Blue Grass in Mrs. Dibble's mixture?

Accepted Answer

57.7%

Answer

55.5%

Answer

60%

Answer

Who cares? She's going to have a great lawn this summer!

Question 13

Bob mixes his 20 ounce protein shake that is 50% milk with 10 more ounces of whole milk. What concentration of milk is in the resulting drink?

Accepted Answer

66.7%

Answer

54.7%

Answer

55%

Answer

80%

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